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Mysterious Circle Numbers.Does πp,q Approach πp When q Is Tending to p ?

Mysterious Circle Numbers.Does πp,q Approach πp When q Is Tending to p ?

This paper aims to introduce a mathematical-philosophical type of question from the fascinating world of generalized circle numbers to the widest possible readership. We start with recalling well-known (in part from school) properties of the polygonal approximation of the common circle when approximating the famous circle number π by convergent …